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A109881 Perfect powers with at least one more digit permutation giving another perfect power with the same index. 0

%I #4 Dec 05 2013 19:57:00

%S 100,125,144,169,196,256,400,441,512,625,900,961,1000,1024,1089,1296,

%T 1369,1600,1764,1936,2025,2304,2401,2500,2809,2916,3600,4096,4761,

%U 4900,6400,7056,8000,8100,9025,9216,9604,9801,10000,10201,10404,10609,10816

%N Perfect powers with at least one more digit permutation giving another perfect power with the same index.

%e 256 is a term 256=4^4 and 625 = 5^4. 243 is not a member though 243= 3^5 and 324 = 18^2 as the indices are not the same. 1000 is a member because 1000 and 0001 are both cubes.

%K base,nonn,easy

%O 1,1

%A _Amarnath Murthy_, Jul 10 2005

%E Corrected and extended. Added an example. - _David Wasserman_, Oct 15 2008

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Last modified April 23 05:37 EDT 2024. Contains 371906 sequences. (Running on oeis4.)